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AP EAMCET202316 May 2023Morning ShiftPhysicsRotational MotionActual

The angular momentum of a solid cylinder rotating about its geometric axis with angular speed 40 rad s ⁻¹ is 2 ~kg m ^2 ~s ⁻¹ . If the radius of the cylinder is 10 ~cm , the mass of the cylinder is

Options

  1. A2 ~kg
  2. B5 ~kg
  3. C8 ~kg
  4. D10 ~kg

Correct answer

D. 10 ~kg

Step-by-step solution

Angular speed, =40 rad / s Angular momentum, L =2 ~kg ~m ^2 ~s ⁻¹ Radius of the cylinder, r=10 ~cm =0.10 ~m Moment of inertia of solid cylinder, I= mr ^2 2 Angular momentum, L = I aligned & 2= m ^2 2 40 & 2= 1 2 m (0.10)^2 40 & ~m = 2 20 (0.1)^2 =10 ~kg aligned

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